252500252500 has 90 divisors (see below), whose sum is σ = 557745012902. Its totient is φ = 99990000000.

The previous prime is 252500252467. The next prime is 252500252503. The reversal of 252500252500 is 5252005252.

It can be written as a sum of positive squares in 15 ways, for example, as 76714596676 + 175785655824 = 276974^2 + 419268^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252500252503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 25497550 + ... + 25507450.

Almost surely, 2^252500252500 is an apocalyptic number.

252500252500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252500252500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278872506451).

252500252500 is an abundant number, since it is smaller than the sum of its proper divisors (305244760402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252500252500 is an equidigital number, since it uses as much as digits as its factorization.

252500252500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

Adding to 252500252500 its reverse (5252005252), we get a palindrome (257752257752).

The spelling of 252500252500 in words is "two hundred fifty-two billion, five hundred million, two hundred fifty-two thousand, five hundred".